power series

American  

noun

Mathematics.

1. an infinite series in which the terms are coefficients times successive powers of a given variable, or times products of powers of two or more variables.

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power series British  

noun

1. a mathematical series whose terms contain ascending positive integral powers of a variable, such as a 0 + a 1 x + a 2 x ² +…

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power series Scientific  

1. A sum of successively higher integral powers of a variable or combination of variables, each multiplied by a constant coefficient.

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Etymology

Origin of power series

First recorded in 1890–95

Example Sentences

In the preceding section on power series and functions we showed how to represent certain functions using power series.

From Textbooks • Mar. 30, 2016

To determine the interval of convergence for a power series, we typically apply the ratio test.

From Textbooks • Mar. 30, 2016

In Example 6.6 we show how to do the opposite: given a power series, determine which function it represents.

From Textbooks • Mar. 30, 2016

At this point, however, we are still limited as to the functions for which we can find power series representations.

From Textbooks • Mar. 30, 2016

Within a common circle of convergence two power series Σ anzn, Σ bnzn can be multiplied together according to the ordinary rule, this being a consequence of a theorem for absolutely convergent series.

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" by Various